Details

Time bar (total: 1.9s)

sample25.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0397
1397

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* x (- 1.0 (* x y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04977236
14977236

prune52.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New20727
Fresh000
Picked101
Done000
Total21728

Merged error: 0.0b

Counts
28 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* x (neg y))))
0.2b
(* x (* x (neg y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-neg-out
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* x (* x (neg y))))
6.0ms
(* x (* x (neg y)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x 1.0) (* x (* x (neg y))))
4.0ms
(* x (* x (neg y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05135297

prune57.0ms

Filtered
23 candidates to 39 candidates (-69.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh246
Picked011
Done000
Total38846

Merged error: 0.0b

Counts
46 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
45.0ms
(cbrt (- 1.0 (* x y)))
43.0ms
(cbrt (- 1.0 (* x y)))
46.0ms
(cbrt (- 1.0 (* x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049781376
149781376

prune241.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh066
Picked011
Done011
Total989107

Merged error: 0b

Counts
107 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.3b
(pow (* x y) 2)
4.2b
(cbrt (- (* 1.0 1.0) (pow (* x y) 2)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×cbrt-div
4×add-cbrt-cube add-log-exp
3×pow-unpow flip3-- pow1/3 flip-- difference-of-squares
2×pow-pow pow-exp unpow2 sqr-pow
1×pow-to-exp unpow-prod-down pow-prod-down prod-exp
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
5.0ms
(pow (* x y) 2)
6.0ms
(cbrt (- (* 1.0 1.0) (pow (* x y) 2)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (- 1.0 (* x y)))
43.0ms
(cbrt (- 1.0 (* x y)))
5.0ms
(pow (* x y) 2)
28.0ms
(cbrt (- (* 1.0 1.0) (pow (* x y) 2)))

simplify49.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05035783

prune190.0ms

Filtered
58 candidates to 72 candidates (-24.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done022
Total72981

Merged error: 0b

Counts
81 → 9

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample586.0ms

Algorithm
intervals
Results
270.0ms10765×body80valid

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